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Finding the Fourth Proportional to 1,533.15, 2,299.23 and 655.63

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Solution

The fourth proportional to 1,533.15, 2,299.23 and 655.63 is: 983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.15 : 2,299.23 = 655.63 : x
  2. Step 2: Convert to fraction form
    1,533.15/2,299.23 = 655.63/x
  3. Step 3: Cross multiply
    1,533.15x = 2,299.23 × 655.63
  4. Step 4: Simplify right side
    1,533.15x = 1,507,444.16
  5. Step 5: Solve for x
    x = 1,507,444.16/1,533.15
  6. Step 6: Final answer
    x = 983.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.